D'Alembert's equation and spherical functions |
| |
Authors: | Henrik Stetkaer |
| |
Affiliation: | (1) Department of Mathematics, Aarhus University, Ny Munkegade, DK-8000 Aarhus C, Denmark |
| |
Abstract: | Summary The observation that the solutions to d'Alembert's functional equation are Z2-spherical functions onR2 gives us a natural way of extending d'Alembert's functional equation to groups. We deduce in this setting that the general solutions are joint eigenfunctions for a system of partial differential operators, and we find a formula for the bounded solutions. |
| |
Keywords: | 39B05 and 43A90 |
本文献已被 SpringerLink 等数据库收录! |
|